Question

the ratio of the angle of a quadrilateral is 3:5:9:13,find all the angle of this quadrilateral
answer the following​

Answer 1

Answer:

Step-by-step explanation:

Let angle in the ratio 3:5:9:13 be a,b,c,d

Let a=3x,b=5x,,c=9x,d=13x

where x is any number

We know that

Sum of angle of quadrilateral is 360 degree

 

a+b+c+d=360 degree  

   [Angle sum property of quadrilateral]

3x+5x+9x+13x=360degree  

 

30x=360 degree

 

x=  

30

360 degree

 

​

 

x=12 degree

 

Hence the angles are

a=3x=3×12 degree

=36 degree

 

b=5x=5×12 degree

=60 degree

 

c=9x=9×12degree  

=108 degree

 

d=13x=13×12  

=156  degree

 

Answer 2

Answer:

156 degree

Hope this helps

Step-by-step explanation:

Let angle in the ratio 3:5:9:13 be a,b,c,d

Let a=3x,b=5x,,c=9x,d=13x

where x is any number

We know that

Sum of angle of quadrilateral is 360 degree  

 

a+b+c+d=360 degree

   [Angle sum property of quadrilateral]

3x+5x+9x+13x=360 degree  

 

30x=360 degree  

 

x= 30/ 360 degree  

​

x=12  

 

Hence the angles are

a=3x=3×12 degree

=36 degree  

 

b=5x=5×12 degree

=60 degree

 

c=9x=9×12 degree

=108 degree

 

d=13x=13×12 degree

=156 degree